Chapter 3 of the Class 6 Maths textbook Ganita Prakash is Number Play. It explores fun patterns hidden in numbers, including reversals, digit sums, palindromes, and divisibility tricks. These Class 6 Mathematics Chapter 3 solutions are also useful as quick revision notes before exams.
Number Reversal Patterns
Q: Find the difference between 47 and its reverse, 74. Is this difference divisible by 9?
A: 74 − 47 = 27. 27 ÷ 9 = 3, so yes, it is completely divisible by 9 — this holds true for the difference between any two-digit number and its reverse.
Digit Sums and Divisibility
Q: Find the digit sum of 528, and use it to check whether 528 is divisible by 3.
A: 5+2+8 = 15, and 1+5 = 6. Since the final digit sum is 6 (which is divisible by 3), 528 is also divisible by 3. This works because a number is divisible by 3 exactly when its digit sum is divisible by 3.
Palindromic Numbers
Q: What is a palindromic number? Give an example.
A: A palindromic number reads the same forwards and backwards, such as 121, 3443, or 7. Some number puzzles involve repeatedly adding a number to its reverse until a palindrome is reached — this is called the reverse-and-add process.
Supercells and Number Patterns
Q: In a row of numbers, how do you identify a “supercell”?
A: A supercell is a number in a grid that is greater than all of its immediate neighbours (left, right, above, below). Identifying supercells helps students practise quick comparison of multiple numbers at once.
Class 6 Mathematics Chapter 3 – Notes and Extra Questions
Along with these NCERT Solutions, students can also use the Class 6 Mathematics Chapter 3 Extra Questions and Class 6 Mathematics Chapter 3 Revision Notes for quick revision and extra practice.
